Numerical Partial Differential Equations: Finite Difference Methods (Texts in Applied Mathematics) by J.W. Thomas

Numerical Partial Differential Equations: Finite Difference Methods (Texts in Applied Mathematics) J.W. Thomas ebook
Publisher: Springer
ISBN: 0387979999, 9780387979991
Page: 454
Format: pdf

Module 3: Regression and Curve Fitting Search methods – Concept of interval of uncertainty, reduction ratio, reduction ratios of simple search techniques like exhaustive search, dichotomous search, Fibonacci search and Golden section search – numerical examples. This third edition of Advanced throughout the text. Topics covered include series methods, Laplace transforms, matrix theory and applications, vector analysis, Fourier series and transforms, partial differential equations, numerical methods using finite differences, complex variables, and wavelets. Geometric programming – examples. The book provides a comprehensive introduction to compact finite difference methods for solving boundary value ODEs with high accuracy. The corresponding theory is The TDS are now competitive in terms of efficiency and accuracy with the well-studied numerical algorithms for the solution of initial value ODEs. Method of steepest ascent/ steepest descent, conjugate gradient method – examples. Written in a clear, accessible style, the third edition incorporates three software packages--Maple®, Excel®, and MATLAB®--in problems and examples throughout the text. Rudiments of finite difference method for partial differential equations, with an example. Moreover, various a The book contains exercises and the corresponding solutions enabling the use as a course text or for self-study. Collocation Mathematical Software.